STATEMENT-1: Emitted radiation will fall in visible trange when an electron jump from `n=4ton=2` H-atom.
STATEMENT-2: Balmer series radiations belong to visible for hydrogen atom only.

Options

A. If both the statement are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1
B. If both the statements are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To analyze the statements provided in the question, let's break down the concepts involved step by step.

### Step 1: Understanding the Electron Transition
When an electron in a hydrogen atom transitions from a higher energy level (n=4) to a lower energy level (n=2), it emits energy in the form of radiation. The energy emitted corresponds to the difference in energy between these two levels.

### Step 2: Identifying the Series
The transition from n=4 to n=2 falls under the Balmer series. The Balmer series describes the spectral lines of hydrogen that are visible to the human eye. The wavelengths of light emitted in this series fall within the visible spectrum.

### Step 3: Wavelength Calculation
The wavelengths of emitted radiation can be calculated using the Rydberg formula:
\[ \frac{1}{\lambda} = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]
where \( R_H \) is the Rydberg constant, \( n_1 \) is the lower energy level (2 for Balmer series), and \( n_2 \) is the higher energy level (4 in this case).

### Step 4: Emission in the Visible Range
For the transition from n=4 to n=2, the emitted radiation indeed falls within the visible range (approximately 400 to 800 nm). Therefore, Statement 1 is correct.

### Step 5: Evaluating Statement 2
Statement 2 claims that the Balmer series radiations belong to the visible region for hydrogen atom only. This is accurate because the Balmer series specifically refers to transitions that result in visible light emissions for hydrogen. Other elements have different series (like the Lyman series for ultraviolet emissions), but the Balmer series is unique to hydrogen in the visible spectrum.

### Conclusion
Both statements are correct, and Statement 2 provides a correct explanation for Statement 1.

### Final Answer
Both statements are true, and Statement 2 is the correct explanation of Statement 1.

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